If he rows with the current, Mishka rows 48 km in 3 hours. If he rows against the current, it takes 4 hours to travel the same d

Question

2 years ago

11

istance. Find Mishka's speed and the speed of the current.

1 answer:

Zarrin [17] · Answer 1 · 2022-05-04T18:43:25+03:00

<h2>Mishka's speed = 14 km/hr</h2><h2>Current speed = 2 km/hr</h2>

Step-by-step explanation:

Let the speed of rowing be r and speed of current be c.

If he rows with the current, Mishka rows 48 km in 3 hours.

Relative speed = r + c

Distance = 48 km

Time = 3 hours

48 = 3 x ( r+c)

r + c = 16 ---------------------------eqn 1

If he rows against the current, it takes 4 hours to travel the same distance.

Relative speed = r - c

Distance = 48 km

Time = 4 hours

48 = 4 x ( r - c)

r - c = 12 ---------------------------eqn 2

eqn 1 + eqn 2

2r = 28

r = 14 km/hr

Substituting in eqn 1

14 + c = 16

c = 2 km/hr

Mishka's speed = 14 km/hr

Current speed = 2 km/hr